Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 53 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ | 0.7121 | 0.8517 | 0.8362 | [X:[], M:[0.8278, 1.1256], q:[0.5861, 0.5861], qb:[0.5395, 0.5395], phi:[0.4372]] | [X:[], M:[[-4, -4, 0, 0], [2, 2, 2, 2]], q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ M_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$ | . | -8 | t^2.48 + t^3.24 + 5*t^3.38 + 3*t^4.55 + 4*t^4.69 + 3*t^4.83 + t^4.97 + t^5.72 + t^5.86 - 8*t^6. - 4*t^6.14 + t^6.47 + 5*t^6.61 + 14*t^6.75 + 3*t^7.03 - 4*t^7.31 - 3*t^7.45 + 3*t^7.79 + 12*t^7.93 + 12*t^8.07 + 9*t^8.2 + t^8.34 - 5*t^8.48 + 3*t^8.76 + t^8.96 - t^4.31/y - t^6.8/y + t^7.83/y + t^8.72/y + (5*t^8.86)/y - t^4.31*y - t^6.8*y + t^7.83*y + t^8.72*y + 5*t^8.86*y | t^2.48/(g1^4*g2^4) + g3^4*g4^4*t^3.24 + g1^4*g3^4*t^3.38 + g2^4*g3^4*t^3.38 + g1^2*g2^2*g3^2*g4^2*t^3.38 + g1^4*g4^4*t^3.38 + g2^4*g4^4*t^3.38 + (g3^7*t^4.55)/(g1*g2*g4) + (g3^3*g4^3*t^4.55)/(g1*g2) + (g4^7*t^4.55)/(g1*g2*g3) + (g1^3*g3^3*t^4.69)/(g2*g4) + (g2^3*g3^3*t^4.69)/(g1*g4) + (g1^3*g4^3*t^4.69)/(g2*g3) + (g2^3*g4^3*t^4.69)/(g1*g3) + (g1^7*t^4.83)/(g2*g3*g4) + (g1^3*g2^3*t^4.83)/(g3*g4) + (g2^7*t^4.83)/(g1*g3*g4) + t^4.97/(g1^8*g2^8) + (g3^4*g4^4*t^5.72)/(g1^4*g2^4) + (g3^2*g4^2*t^5.86)/(g1^2*g2^2) - 4*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 - (g3^4*t^6.)/g4^4 - (g4^4*t^6.)/g3^4 - (g1^4*t^6.14)/g3^4 - (g2^4*t^6.14)/g3^4 - (g1^4*t^6.14)/g4^4 - (g2^4*t^6.14)/g4^4 + g3^8*g4^8*t^6.47 + g1^4*g3^8*g4^4*t^6.61 + g2^4*g3^8*g4^4*t^6.61 + g1^2*g2^2*g3^6*g4^6*t^6.61 + g1^4*g3^4*g4^8*t^6.61 + g2^4*g3^4*g4^8*t^6.61 + g1^8*g3^8*t^6.75 + g1^4*g2^4*g3^8*t^6.75 + g2^8*g3^8*t^6.75 + g1^6*g2^2*g3^6*g4^2*t^6.75 + g1^2*g2^6*g3^6*g4^2*t^6.75 + g1^8*g3^4*g4^4*t^6.75 + 2*g1^4*g2^4*g3^4*g4^4*t^6.75 + g2^8*g3^4*g4^4*t^6.75 + g1^6*g2^2*g3^2*g4^6*t^6.75 + g1^2*g2^6*g3^2*g4^6*t^6.75 + g1^8*g4^8*t^6.75 + g1^4*g2^4*g4^8*t^6.75 + g2^8*g4^8*t^6.75 + (g3^7*t^7.03)/(g1^5*g2^5*g4) + (g3^3*g4^3*t^7.03)/(g1^5*g2^5) + (g4^7*t^7.03)/(g1^5*g2^5*g3) - (g3^3*t^7.31)/(g1*g2*g4^5) - (2*t^7.31)/(g1*g2*g3*g4) - (g4^3*t^7.31)/(g1*g2*g3^5) + t^7.45/(g1^12*g2^12) - (g1^3*t^7.45)/(g2*g3*g4^5) - (g2^3*t^7.45)/(g1*g3*g4^5) - (g1^3*t^7.45)/(g2*g3^5*g4) - (g2^3*t^7.45)/(g1*g3^5*g4) + (g3^11*g4^3*t^7.79)/(g1*g2) + (g3^7*g4^7*t^7.79)/(g1*g2) + (g3^3*g4^11*t^7.79)/(g1*g2) + (g1^3*g3^11*t^7.93)/(g2*g4) + (g2^3*g3^11*t^7.93)/(g1*g4) + (2*g1^3*g3^7*g4^3*t^7.93)/g2 + (2*g2^3*g3^7*g4^3*t^7.93)/g1 + (2*g1^3*g3^3*g4^7*t^7.93)/g2 + (2*g2^3*g3^3*g4^7*t^7.93)/g1 + (g1^3*g4^11*t^7.93)/(g2*g3) + (g2^3*g4^11*t^7.93)/(g1*g3) + (g1^7*g3^7*t^8.07)/(g2*g4) + (g1^3*g2^3*g3^7*t^8.07)/g4 + (g2^7*g3^7*t^8.07)/(g1*g4) + (2*g1^7*g3^3*g4^3*t^8.07)/g2 + 2*g1^3*g2^3*g3^3*g4^3*t^8.07 + (2*g2^7*g3^3*g4^3*t^8.07)/g1 + (g1^7*g4^7*t^8.07)/(g2*g3) + (g1^3*g2^3*g4^7*t^8.07)/g3 + (g2^7*g4^7*t^8.07)/(g1*g3) + (g1^11*g3^3*t^8.2)/(g2*g4) + (g1^7*g2^3*g3^3*t^8.2)/g4 + (g1^3*g2^7*g3^3*t^8.2)/g4 + (g2^11*g3^3*t^8.2)/(g1*g4) + (g1^11*g4^3*t^8.2)/(g2*g3) + (g1^7*g2^3*g4^3*t^8.2)/g3 + (g1^3*g2^7*g4^3*t^8.2)/g3 + (g2^11*g4^3*t^8.2)/(g1*g3) + (g3^4*g4^4*t^8.2)/(g1^8*g2^8) + (g3^2*g4^2*t^8.34)/(g1^6*g2^6) - (3*t^8.48)/(g1^4*g2^4) - (g3^4*t^8.48)/(g1^4*g2^4*g4^4) - (g4^4*t^8.48)/(g1^4*g2^4*g3^4) + t^8.76/g3^8 + t^8.76/g4^8 + t^8.76/(g3^4*g4^4) + (g3^8*g4^8*t^8.96)/(g1^4*g2^4) - t^4.31/(g1*g2*g3*g4*y) - t^6.8/(g1^5*g2^5*g3*g4*y) + (g1^3*g2^3*t^7.83)/(g3*g4*y) + (g3^4*g4^4*t^8.72)/(g1^4*g2^4*y) + (g3^4*t^8.86)/(g1^4*y) + (g3^4*t^8.86)/(g2^4*y) + (g3^2*g4^2*t^8.86)/(g1^2*g2^2*y) + (g4^4*t^8.86)/(g1^4*y) + (g4^4*t^8.86)/(g2^4*y) - (t^4.31*y)/(g1*g2*g3*g4) - (t^6.8*y)/(g1^5*g2^5*g3*g4) + (g1^3*g2^3*t^7.83*y)/(g3*g4) + (g3^4*g4^4*t^8.72*y)/(g1^4*g2^4) + (g3^4*t^8.86*y)/g1^4 + (g3^4*t^8.86*y)/g2^4 + (g3^2*g4^2*t^8.86*y)/(g1^2*g2^2) + (g4^4*t^8.86*y)/g1^4 + (g4^4*t^8.86*y)/g2^4 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 80 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.7232 | 0.8641 | 0.8369 | [X:[], M:[0.837, 1.163, 0.837], q:[0.5815, 0.5815], qb:[0.5815, 0.5815], phi:[0.4185]] | 2*t^2.51 + 5*t^3.49 + 10*t^4.74 + 3*t^5.02 - 6*t^6. - t^4.26/y - t^4.26*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 55769 | SU2adj1nf3 | $\phi_1q_1^2$ + $ M_1\phi_1^2$ + $ q_1q_2$ + $ M_2q_3\tilde{q}_1$ | 0.7121 | 0.8517 | 0.8362 | [X:[], M:[1.1256, 0.8278], q:[0.7814, 1.2186, 0.5861], qb:[0.5861, 0.5395, 0.5395], phi:[0.4372]] | t^2.48 + t^3.24 + 5*t^3.38 + 3*t^4.55 + 4*t^4.69 + 3*t^4.83 + t^4.97 + t^5.72 + t^5.86 - 8*t^6. - t^4.31/y - t^4.31*y | detail |
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 40 | SU2adj1nf2 | $M_1q_1q_2$ | 0.7247 | 0.8687 | 0.8342 | [X:[], M:[0.7995], q:[0.6003, 0.6003], qb:[0.5581, 0.5581], phi:[0.4208]] | t^2.4 + t^2.52 + t^3.35 + 4*t^3.48 + 3*t^4.61 + 4*t^4.74 + t^4.8 + 3*t^4.86 + t^4.92 + t^5.05 + t^5.75 + t^5.87 - 4*t^6. - t^4.26/y - t^4.26*y | detail |